Mind your limits

Calculus Level 2

\[ \large y = \lim_{x\to3} \dfrac{ \sqrt{3x} - 3}{\sqrt{2x-4} - \sqrt2} \]

Find \( \lfloor y \rfloor \).

\(\)
Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

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